Finding the Fourth Proportional to 734.99, 1,014 and 420.17
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Solution
The fourth proportional to 734.99, 1,014 and 420.17 is: 579.67
Step by Step Solution
- Step 1: Write the proportion equation
734.99 : 1,014 = 420.17 : x - Step 2: Convert to fraction form
734.99/1,014 = 420.17/x - Step 3: Cross multiply
734.99x = 1,014 × 420.17 - Step 4: Simplify right side
734.99x = 426,052.38 - Step 5: Solve for x
x = 426,052.38/734.99 - Step 6: Final answer
x = 579.67
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.